"Let the sire of the sire become the grandsire on the dam's side." Lloyd Brackett's prescription for linebreeding has proven very effective WHEN the dog linebred on is a truly superior example of the breed_&_can correct the weaknesses in the bitch/pedigree in question. Pat Craige Trotter in her book "Born To Win" discusses some successful strategies & possible formulas for particular situations, but no "cookbook approach" to dogs will ever work: breeding dogs is an artful science or a scientific art and takes both talent and study to properly accomplish. Outcrossing can be like sweeping problems under the rug (if it is really an outcross that is done). The pups from two such lines now carry some mishmash of what either or both parents brought down out of their families.